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- Title
Asymptotic properties of a stochastic chemostat including species death rate.
- Authors
Wang, Liang; Jiang, Daqing
- Abstract
This paper deals with a stochastic system which models the population dynamics of a chemostat including species death rate. On the basis of the theory on Markov semigroup, we demonstrate that the probability densities of the distributions for the solutions are absolutely continuous. The densities will convergence in L1 to an invariant density or weakly convergence to a singular measure under appropriate conditions. We also give the sufficient criteria for extinction exponentially of the species. To be specific, when D1> D and the strength of perturbation is relatively small, we derive a precise threshold for the species survival.
- Subjects
CHEMOSTAT; STOCHASTIC systems; DEATH rate; DIFFERENTIAL equations; ASYMPTOTIC theory of algebraic ideals; POPULATION dynamics
- Publication
Mathematical Methods in the Applied Sciences, 2018, Vol 41, Issue 1, p438
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.4624